There's a difference though. Before the modern take on Loki (and we won't really get into the convoluted way it's not even really the "same" Loki), Loki was always a mildly comedic, psychopathic, classic super villain.
Lex long ago shed that image. Savvy, established businessman/politician Lex masking an inner narcissism that leads to self destruction is how most people see Lex. Going from that to daddy issue meme spouter is far more jarring than a younger Loki going the same way. Also important, is that Loki got fangirl cred in the movies first, where he really only had the daddy issues, before he became a memester in the comics to play to that crowd more.